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Simplifying 10m2 + 2m + 9 = 2 Reorder the terms: 9 + 2m + 10m2 = 2 Solving 9 + 2m + 10m2 = 2 Solving for variable 'm'. Reorder the terms: 9 + -2 + 2m + 10m2 = 2 + -2 Combine like terms: 9 + -2 = 7 7 + 2m + 10m2 = 2 + -2 Combine like terms: 2 + -2 = 0 7 + 2m + 10m2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.7 + 0.2m + m2 = 0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + 0.2m + -0.7 + m2 = 0 + -0.7 Reorder the terms: 0.7 + -0.7 + 0.2m + m2 = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.2m + m2 = 0 + -0.7 0.2m + m2 = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 0.2m + m2 = -0.7 The m term is 0.2m. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2m + 0.01 + m2 = -0.7 + 0.01 Reorder the terms: 0.01 + 0.2m + m2 = -0.7 + 0.01 Combine like terms: -0.7 + 0.01 = -0.69 0.01 + 0.2m + m2 = -0.69 Factor a perfect square on the left side: (m + 0.1)(m + 0.1) = -0.69 Can't calculate square root of the right side. The solution to this equation could not be determined.
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